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Finding the Fourth Proportional to 34,115.34, 47,077.96 and 19,007.22

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Solution

The fourth proportional to 34,115.34, 47,077.96 and 19,007.22 is: 26,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115.34 : 47,077.96 = 19,007.22 : x
  2. Step 2: Convert to fraction form
    34,115.34/47,077.96 = 19,007.22/x
  3. Step 3: Cross multiply
    34,115.34x = 47,077.96 × 19,007.22
  4. Step 4: Simplify right side
    34,115.34x = 894,821,142.87
  5. Step 5: Solve for x
    x = 894,821,142.87/34,115.34
  6. Step 6: Final answer
    x = 26,229.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.